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3 years ago

Felipe and Ling were asked to find an explicit formula for the sequence 24,16,8,0,...

Mathematics

1 answer:

fomenos3 years ago

5 0

Answer:

f(n) = 32 - 8n

Step-by-step explanation:

24, 16, 8, 0

f(n) = 24 - 8 x (n-1)

f(n) = 32 - 8n

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The sum of two numbers is 92. One eighth of the larger number plus one third of the smaller number is 19. Find the numbers.

maria [59]

Answer:

The numbers 'x' and 'y' are:

$x=56,\:y=36$

Step-by-step explanation:

Let 'x' and 'y' be the two numbers

As the sum of the two numbers is 92.

$x+y = 92$

Given that One-eighth of the larger number plus one-third of the smaller number is 19.

$\frac{1}{8}x\:+\:\frac{1}{3}y=19$

now solving both equations to determine the numbers 'x' and 'y'.

$\begin{bmatrix}\frac{1}{8}x+\frac{1}{3}y=19\\ x+y=92\end{bmatrix}$

$\mathrm{Multiply\:}\frac{1}{8}x+\frac{1}{3}y=19\mathrm{\:by\:}8\:\mathrm{:}\:\quad \:x+\frac{8}{3}y=152$

$\begin{bmatrix}x+\frac{8}{3}y=152\\ x+y=92\end{bmatrix}$

$x+y=92$

$-$

$\underline{x+\frac{8}{3}y=152}$

$-\frac{5}{3}y=-60$

$\begin{bmatrix}x+\frac{8}{3}y=152\\ -\frac{5}{3}y=-60\end{bmatrix}$

solve for y

$-\frac{5}{3}y=-60$

$-5y=-180$

$\mathrm{Divide\:both\:sides\:by\:}-5$

$\frac{-5y}{-5}=\frac{-180}{-5}$

$y=36$

$\mathrm{For\:}x+\frac{8}{3}y=152\mathrm{\:plug\:in\:}y=36$

$x+\frac{8}{3}\cdot \:36=152$

$x=56$

Thus, the numbers 'x' and 'y' are:

$x=56,\:y=36$

8 0

3 years ago

Wilton drives a taxicab. He charges $40 per hour. One passenger gave Wilton a tip of $30. He gave Wilton a total of $150. He is

Sveta_85 [38]

(a) 40 x d =120
(b)40 x 3=120 120 + 30=150

3 0

3 years ago

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Convert to slope intercept form: <br> 6x-3y=96x−3y=9<br><br> with steps please!!

Drupady [299]

Answer:

y = 2x - 3

Step-by-step explanation:

Slope intercept form : y = mx + b

6x - 3y = 9

-3y = -6x + 9

$\frac{-3}{-3}y=\frac{-6}{-3}x+\frac{9}{-3}\\\\$

y = 2x - 3

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3 years ago

Which of the following shapes contain perpendicular line segments?

Lina20 [59]

Answer:

Step-by-step explanation:

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2 years ago

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3. Emilio is going to run 6 miles a day for 8 days. How many miles will he have completed

Nastasia [14]

Answer:

Step-by-step explanation:

6(miles per day) * 8(days) = 48

7 0

3 years ago